In the first part, we introduce randomized algorithms as a new notion of efficient algorithms for decision problems. We classify randomized algorithms according to their error probabilities, and define appropriate complexity classes. (RP, coRP, ZPP, BPP, PP). We discuss which classes are realistic proposals for design of probabilistic algorithms. We cover the implementation of randomized algori...

1. Uniformity and correlation 1 1.

Introduction. The purpose of this report is to draw attention to some nontrivial connections between the ("continuous") theory of irregularities of distribution and discrete mathematics. The object of the theory of irregularities of distribution is to measure the uniformity (or nonuniformity) of sequences and point sets. For instance: how uniformly can an arbitrary set of N points in the unit c...

The accurate production of a rainfall environment similar to natural rainfall by a rainfall simulator (RS) is a crucial and challenging task in rainfall instrument testing or calibration. Although the spatial uniformity of rainfall accumulation is a key parameter of an RS, the spatial uniformity comparison between simulated rainfall and natural rainfall, and the spatial uniformity improvements ...

system evaluations were performed on 48 center pivots in different parts of saudi arabia. these systems, located on different farms in four different regions of the country, namely: riyadh, jouf, qassim and eastern regions, were evaluated to study the effect of lateral configuration on water application uniformity as regards the original vs. modified laterals. lateral configuration modification...

The texture and color on wood are key factors that influence an individual's perception of it. However, little research has been done to confirm what kind pattern in textures colors more likely evoke individual aesthetic pleasure. Therefore, twenty-four decorative from northern China were selected, identified, quantified their with a CR-5 Colorimeter. We picked out eight kinds optimal character...